Trigonometry Project Ms. thompson

Task 1: Arc Length & Sector Area of a Clock Radius of clock = 5.7 𝑐𝑚 Distance between hour hand and minute hand = 5.2 𝑐𝑚 Angle in degrees = 𝑐𝑜𝑠 −1 1− 5.2 2 2∙ 5.7 2 = 54 𝑜 Angle in radians = 3 10 𝜋 Arc Length = 1.71𝜋 Sector Area = 4.87𝑐𝑚 2

Task 2: Jumping Rope Jump Height = 3 𝑖𝑛𝑐ℎ𝑒𝑠 Time for 10 jumps = 8.81 𝑠𝑒𝑐𝑜𝑛𝑑𝑠 Time for 1 jump = 0.881 𝑠𝑒𝑐𝑜𝑛𝑑𝑠 𝐻 𝑡 =−1.5 cos 2𝜋 0.881 𝑥 +1.5 Negative a-value to represent ... 1.5 is the … 0.881 is the … 𝐻 𝑡 =−4.5 cos 2𝜋 0.441 +4.5 4.5 is … if my jump height was tripled 0.441 is … if my speed doubled

Task 3: Hours of Daylight in Washington D.C. My city: Washington D.C. Population: 601,723 Latitude: 38 𝑜 53 ′ 42.4” 𝑁 Interesting Facts: One lap around Washington D.C. mall is 4.28 miles. There is annual Cheery Blossom Trees Festival in Washington D.C. to honor and celebrate the friendship between United States and Japan.

Task 3: Hours of Daylight in Washington D.C. Day length on June 21st is 14:53:50 In decimals 14.897 hours Washington D.C. will be experiencing Summer 12 is the ... of my trigonometry function. Daylight difference: 14.897−12=2.897 ℎ𝑜𝑢𝑟𝑠 2.897 is the ... of my trigonometry function. The solar year spans, 365.25 𝑑𝑎𝑦𝑠, represent ... 𝐷 𝑥 =2.897cos 2𝜋 365.25 𝜃 +12 My next birthday is May 16, 2018 My next birthday after June Solstice is 329 days away and there will be 14.35 ℎ𝑜𝑢𝑟𝑠 𝑜𝑓 𝑑𝑎𝑦𝑙𝑖𝑔ℎ𝑡

sources http://latitudelongitude.org/us/washington-dc/ - Latitude http://www.mapmyrun.com/us/washington-d-c-dc/national-mall-4-mile-loop-route-22109748 - D.C. Mall https://washington.org/visit-dc/must-see-memorials-monuments-national-mall Http://www.nationalcherryblossomfestival.org/about/history/ - Cherry Blossom http://travelingwithpurpose.com/10-reasons-youll-love-learning-in-washington-dc/scan0001-640x431/